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- W1510077498 abstract "This paper presents a Wiener-Hopf (W-H) solution of wave propagation across a crack where two semi-infinite floating elastic plates are joined by various transition conditions (see Fig. 1). There has been a steady development of analytical solutions of floating elastic plates and water waves. A simple case of water-plate interaction problem is solved in [1] and [4] using the W-H technique. (There are too many papers on the W-H to list them all here.) A similar technique is used in [3] to solve a plate-plate interaction with an open gap and a rigid joint. In a slightly different situation, [2] gives analytical solutions of plate-water-plate problem using the residue calculus technique. A complementary problem, water-plate-water with free edge conditions is solved using the W-H in [7]. Wave scattering by a long crack is studied in [5] using a Green’s function for a floating elastic plate. The family of problems concerning floating elastic plates, which can be solved analytically, is growing and several of them have been presented at the past workshops. However, the conditions at the edges of the plates have been usually assumed to be free. In this paper we exploit the fact that the W-H technique can, with some modifications shown in [3], incorporate more complex transition conditions than the simple open gap or rigid joint. Our motivation here is to model the cracks in sea-ice sheets, because wave propagation into the ice field plays an important role when the ice sheets around the coast of Antarctica are broken up every year. We use a theoretical model of the ice sheet that assumes ice thickness, mass density and Young’s modulus to be constant. This model is often used to study the dynamics of ice sheets with fairly homogeneous appearance. We focus on a relatively long and straight crack in an ice sheet. Such a crack can have a variety of physical properties depending on how it is formed, for example partially frozen slosh or solidly re-frozen crack. However, the mechanism of wave propagation across such a crack is not yet well understood." @default.
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- W1510077498 date "2005-06-01" @default.
- W1510077498 modified "2023-09-23" @default.
- W1510077498 title "Transition conditions at the interface between floating plates" @default.
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